Quiz 5.3:


Question:

The loudest crowd roar at a sports stadium was 131.76 dB in Turkey in 2011. How many times more intense was this than the previous record of 128.7 dB set in Denver in 2000?


4th Ed: #45
5th Ed: #24


Solution:

\( 131.76 = 10 \log \frac{I_T}{I_0} \)
\( 13.176 = \log(I_T) - \log(I_0) \)
\( 13.176 = \log(I_T) + 16 \)
\( -2.824 = \log (I_T) \)
\( I_T = 10 ^{-2.824} \)


\( 128.7 = 10 \log \frac{I_D}{I_0} \)
\( 12.87 = \log(I_D) - \log(I_0) \)
\( 12.87 = \log(I_D) + 16 \)
\( -3.13 = \log (I_D) \)
\( I_D = 10 ^{-3.13} \)


\( \frac{I_T}{I_0}= \frac{10^{-2.824}}{10^{-3.13}}=10^{0.306} \approx 2 \)

It was twice as intense.
JCCC
JCCC